Arun applied for a job of English teacher in a school. In the test for the job, he scored 9 in speaking, 8 in listening, 6 in writing, and 7 in interview. For calculating the final score, weights of 4, 3, 3 and 4 were assigned to speaking, listening, writing and interview respectively. What is the weighted average score of Arun? (Round off to two decimal places)

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SSC GD Constable (2022) Official Paper (Held On : 27 Jan 2023 Shift 2)
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  1. 7.75
  2. 6.95
  3. 7.57
  4. 7.45

Answer (Detailed Solution Below)

Option 3 : 7.57
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Detailed Solution

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Given:

Scores in speaking, listening, writing, and interview are 9, 8, 6, and 7 respectively.

Weights for speaking, listening, writing, and interviewing are 4, 3, 3, and 4 respectively.

Concept Used:

Weighted Average = [Sum of (score × Weight)] / (Sum of Weights)

Calculation:

Weighted Average = [(9 × 4) + (8 × 3) + (6 × 3) + (7 × 4)] / (4 + 3 + 3 + 4)

⇒ Weighted Average = (36 + 24 + 18 + 28) / 14

⇒ Weighted Average = 7.57

∴ The weighted average score of Arun is 7.57.

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